Geodesic
On a~prescribed orientation of a~solid inclusion in a~viscous fluid
Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 1, pp. 123-128

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We pose and solve a problem of the rotational motion of a solid inclusion in an oscillating viscous fluid. The new hydromechanical effect is revealed: under any (perturbed) initial position of the inclusion, there happens its subsequent “spontaneous” passage into one of the two stable equilibria corresponding to the orientation of the inclusion along the oscillation axis of the fluid.
Mots-clés : viscous fluid, inclusion, oscillation
Keywords: solid body, field of gravity, method of averaging. 
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     author = {V. L. Sennitskii},
     title = {On a~prescribed orientation of a~solid inclusion in a~viscous fluid},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {123--128},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2015_18_1_a9/}
}
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V. L. Sennitskii. On a~prescribed orientation of a~solid inclusion in a~viscous fluid. Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 1, pp. 123-128. http://geodesic.mathdoc.fr/item/SJIM_2015_18_1_a9/